A HOMOGENEOUS MODEL FOR COMPRESSIBLE THREE-PHASE FLOWS INVOLVING HEAT AND MASS TRANSFER.

Olivier Hurisse (1, 2) , Lucie Quibel (1, 3)

1 EDF - EDF
2 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles
3 IRMA - Institut de Recherche Mathématique Avancée

A homogeneous model is proposed in order to deal with the simulation of fast transient three-phase flows involving heat and mass transfer. The model accounts for the full thermodynam-ical disequilibrium between the three phases in terms of pressure, temperature and Gibbs enthalpy. The heat and mass transfer between the phases is modeled in agreement with the second law of ther-modynamics, which ensures a stable return to the thermodynamical equilibrium. The set of partial differential equations associated with this model is based on the Euler set of equations supplemented by a complex pressure law, and by six scalar equations that allow to account for the thermodynamical disequilibrium. It therefore inherits a simple wave structure and possesses important mathematical properties such as: hyperbolicity, unique shock definition through Rankine-Hugoniot relations, pos-itivity of the mixture fractions. Hence the computation of approximated solutions is possible using classical algorithms, which is illustrated by an example of simulation of a steam-explosion.

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Hurisse, Lucie Quibel. A HOMOGENEOUS MODEL FOR COMPRESSIBLE THREE-PHASE FLOWS INVOLVING HEAT AND MASS TRANSFER.. ESAIM: Proceedings and Surveys, In press. ⟨hal-01976903⟩